Continuity mistake: During Peter's rant inside the Oxford office, Emma Stone's hair comes and goes from the front of her right shoulder. This happens all the way throughout the scene, even at the pivotal moment at the very end when she asks him which was the "one thing" he mentioned. (01:23:20)
Continuity mistake: When Peter for some reason decides to try to hoodwink the English receptionist pretending to be "John Hopkins", he mentions that he tried to get Gwen to be part of "my team." In that, a guy comes in frame walking from right to left. Several seconds later, same extra, same walk. (01:24:20)
Continuity mistake: When the sickly kid CEO overpowers the two security guards, he does so with the one on the right that mysteriously in one shot is facing him and in the next he's facing the nearby desk, away from him. (01:33:35)
Continuity mistake: When Electro pierces the chest of the head of the security, the guy falls at a certain distance from the chair and table of the office, but when Harry saunters off to his body to grab his gun, the dead guy is right by the furniture. (01:40:05)
Continuity mistake: Harry and Electro are in the office and confront the new CEO. Electro shocks him, and he falls to the floor. The first shot of him is clearly not the same actor, because the man on the floor has a full head of hair. The second shot it's the original CEO, who is mostly bald. (01:40:55)
Continuity mistake: Spider-Man leaves the "I love you" message to Gwen on Brooklyn Bridge, and on the tower of the bridge you can see the American flag. When the bridge is in the background later, the flag is gone. (01:45:15)
Continuity mistake: After the blackout when the plane lifts up, Gwen is standing next to Spider-Man, with her left hand on his back. She is just 20cm smaller than him. When the shot changes she is now standing away from him and he is 40cm taller. This changes back and forth. (01:47:25)
Continuity mistake: When Electro's face appears on the building's windows, he produces huge holes on the pavement, which is empty except for a police car. After Spider stops by the water tank the aerial shot shows the street jammed with cars. (01:49:25)
Continuity mistake: Spider-Man launches Electro against some metal towers and says "your muscles, bones..." and starts to stand-up, left leg extended. Shot changes and he is kneeling. (01:52:15)
Continuity mistake: In the final battle, Spidey is going hand-to-hand with Goblin while Gwen is still dangling. At one point he wraps his web around Goblin's neck; the two loops of web change distance depending on the camera angle. (02:00:10)
Continuity mistake: During the battle with Green Goblin, when Gwen Stacy is falling through the clock tower, there are dozens of gears and other pieces of various sizes falling with her. However, when she lands, only a few small gears and pieces land alongside her - all the other debris that were falling have seemingly vanished. (02:01:20)
Suggested correction: That part of the scene is SO dark that it's really hard to tell; they do show some gears and pieces land after she does and there are some gears and pieces next to her when he walks to her. I wouldn't say there's none, but I'd say it does seem a disproportionately low amount considering how many giant gears were falling.
Given that even you admit in your correction that the number of gears seems disproportionately low (which it is - we only see a few small pieces landing when there were dozens and dozens of pieces in different sizes falling), I think amending the wording through a word-change is a better option than trying to correct the mistake itself. Because there is still a mistake here. Going to go ahead and do that after I post this response. (Might take a few days to change, though).
Continuity mistake: When Gwen dies, the position of Spidey's left hand is inconsistent in almost every shot: Moving between her temple and cheek back and forth. Also, when he says "Stay with me" his right hand suddenly appears / disappears randomly around her head. (02:02:05)
Continuity mistake: The one kid Spidey helped is looking at the window during the news story about Rhino breaking out of prison. He leans forward, but he's in a different position between shots, and his wind turbine is powered up only in the last shot even if it was still two shots before. (02:06:15)
Continuity mistake: Peter is absent-mindedly listening to the news while Aunt May is putting away some objects. There's a cut while the speaker says "return of the web-slinger" and May who just had put down some letters is suddenly lifting a book. (02:06:25)
Continuity mistake: When Peter looks at Gwen's mementos, the photo he had in hand and the USB key both change position between shots. (02:07:50)
Continuity mistake: When Rhino walks towards the cops he is a meter away from two cars. From the aerial angle he is 10 meters behind, moving towards the cars again. (02:09:50)
Continuity mistake: When the kid dressed like Spidey slips through the barricade, look at his mother in close-up. To her left (right of the screen) there's a guy with white hair that breaks into a sound reminiscent of the famed Aro's Laugh. In the next shot, the guy is in a different position, to the right of the previous position, closer to the asian guy. (02:10:25)
Continuity mistake: When the kid slowly hobbles towards Rhino somehow outsprinting all the policemen, seen from behind he is walking in the shade for a large tract, but the street is sunlit in the other views. In general throughout the scene the police cars are now in the shade, now in the sun. (02:10:30)
Continuity mistake: While confronting Rhino, before Spidey tosses the loudspeaker there are two cops to his right, and two other cops 4 meters behind. He throws the loudspeaker backwards, which in no way could've been grabbed by anyone. When the shot changes the cops on the right are magically behind Spidey, ready to catch the loudspeaker. Furthermore, its movement is totally unrealistic, revealing it's a CGI image with a fake movement to allow for the cop to grab it. (02:12:15)
Continuity mistake: After Peter gets his diploma and has a chat with Gwen, the sun changes between shots.